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Formal asymptotic integration for one class of weakly nonlinear infinite-dimensional Hamiltonian systems

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Abstract

An asymptotic integration technique is described for a class of infinite-dimensional Hamiltonian systems. The method will generate a solution with any desired accuracy. The solutions are constructed using the theory of generalized functions.

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Authors
  1. S. A. Vakulenko
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 148, pp. 42–51, 1985.

In conclusion, I would like to acknowledge the helpful commments of V. B. Babich, I. A. Molotkov, V. F. Lazutkin, M. M. Popov and other participants of the LOMI wave diffraction seminar.

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Vakulenko, S.A. Formal asymptotic integration for one class of weakly nonlinear infinite-dimensional Hamiltonian systems. J Math Sci 38, 1585–1592 (1987). https://doi.org/10.1007/BF01100138

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  • DOI: https://doi.org/10.1007/BF01100138

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